(ax - by)(ax + by) please tell the answer VERY URGENT will mark the branliest to the best explanation
Answers
Step-by-step explanation:
(ax + -1by)(ax + by) = 0
Multiply (ax + -1by) * (ax + by)
(ax(ax + by) + -1by * (ax + by)) = 0
((ax * ax + by * ax) + -1by * (ax + by)) = 0
Reorder the terms:
((abxy + a2x2) + -1by * (ax + by)) = 0
((abxy + a2x2) + -1by * (ax + by)) = 0
(abxy + a2x2 + (ax * -1by + by * -1by)) = 0
(abxy + a2x2 + (-1abxy + -1b2y2)) = 0
Reorder the terms:
(abxy + -1abxy + a2x2 + -1b2y2) = 0
Combine like terms: abxy + -1abxy = 0
(0 + a2x2 + -1b2y2) = 0
(a2x2 + -1b2y2) = 0
Solving
a2x2 + -1b2y2 = 0
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add 'b2y2' to each side of the equation.
a2x2 + -1b2y2 + b2y2 = 0 + b2y2
Combine like terms: -1b2y2 + b2y2 = 0
a2x2 + 0 = 0 + b2y2
a2x2 = 0 + b2y2
Remove the zero:
a2x2 = b2y2
Divide each side by 'x2'.
a2 = b2x-2y2
Simplifying
a2 = b2x-2y2
Take the square root of each side:
a = {-1bx-1y, bx-1y}
Answer:
ax²-bx²
Step-by-step explanation:
(a-b)(a+b)
= a²-b²
so,
(ax-by)(ax+by)
=ax²-by²
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